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Finding the Fourth Proportional to 13,883.87, 19,159.27 and 7,917.46

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Solution

The fourth proportional to 13,883.87, 19,159.27 and 7,917.46 is: 10,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.87 : 19,159.27 = 7,917.46 : x
  2. Step 2: Convert to fraction form
    13,883.87/19,159.27 = 7,917.46/x
  3. Step 3: Cross multiply
    13,883.87x = 19,159.27 × 7,917.46
  4. Step 4: Simplify right side
    13,883.87x = 151,692,758.01
  5. Step 5: Solve for x
    x = 151,692,758.01/13,883.87
  6. Step 6: Final answer
    x = 10,925.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.